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Finding the Third Proportional to 962,840 and 1,346,043

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Solution

The third proportional to 962,840 and 1,346,043 is: 1,881,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,840 : 1,346,043 = 1,346,043 : x
  2. Step 2: Convert to fraction form
    962,840/1,346,043 = 1,346,043/x
  3. Step 3: Cross multiply
    962,840x = 1,346,043 × 1,346,043
  4. Step 4: Simplify right side
    962,840x = 1,811,831,757,849
  5. Step 5: Solve for x
    x = 1,811,831,757,849/962,840
  6. Step 6: Final answer
    x = 1,881,757.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.